" 45.If "a^(2)-2a-1=0," then find "a-(1)/(a),a+(1)/(a),a^(2)+(1)/(a^(2))" and "a^(2)-(1)/(a^(2))

If a^(2)- 5a-1= 0 and a ne 0 , find : a^(2)- (1)/(a^(2))

If a^(2)- 3a + 1= 0 and a ne 0 , find : a^(2) + (1)/(a^(2))

If a^(2)- 5a + 1 = 0 and a ne 0 , find : a^(2) + (1)/(a^(2))

If A=[(2,0,1),(2,1,3),(1,-1,0)] , then find (A^(2)-5A)

Evaluate the following {:[(1,-1),(0,2),(2,3)] ([(1,0,2),(2,0,1)] - [(0,1,2),(1,0,2)])

If A=[[2,0,1],[2,1,3],[1,-1,0]] , then find (A^(2)-5A)

If A=[[0,1,3],[1,2,x],[2,3,1]] and A^(-1)=[[(1)/(2),-4,(5)/(2)],[-(1)/(2),3,-(3)/(2)],[(1)/(2),y,(1)/(2)]] . Find x,y

Find the matrix A if [(1,2),(0,1)]A=[(6,1),(2,1)]

If A = [(1,-1,1),(2,-1,0),(1,0,0)] find A^(2) and show that A^(2) = A^(-1) .